MATH6058 Pythagoras' Theorem and naming sides of right angled triangle

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Catherine Palmer

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Catherine Palmer 7 years, 5 months ago

Created this as a copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle.

Name	Status	Author	Last Modified
Q3 Solve for x and y on a given triangle	draft	TEAME CIT	05/10/2016 14:45
Q4 Solve for x and y on a given triangle and calculate the area	draft	TEAME CIT	08/10/2016 21:39
Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	TEAME CIT	08/10/2016 21:38
Q3: Solve for x and y on a given triangle	draft	Denis Flynn	17/01/2017 13:15
MATH6058 Pythagoras' Theorem and naming sides of right angled triangle	draft	Catherine Palmer	23/10/2017 00:40
MATH6058 Solve for x and y on a right angled triangle	draft	Catherine Palmer	23/10/2017 00:42
MATH6058 Solve for x and y on a given triangle and calculate the area	Ready to use	Catherine Palmer	29/03/2018 11:27
Simon's copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	Simon Thomas	01/05/2019 14:59
Simon's copy of Q1.1 Pythagoras' Theorem	draft	Simon Thomas	01/05/2019 15:44
Simon's copy of Q3 Solve for x and y on a given triangle	draft	Simon Thomas	02/05/2019 09:47
Simon's copy of Q4 Solve for x and y on a given triangle and calculate the area	draft	Simon Thomas	02/05/2019 10:42
Maria's copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	Maria Aneiros	29/05/2019 08:42
Using Pythagoras to find a missing side (Eukleides diagrams)	Ready to use	Deirdre Casey	10/05/2023 09:12
Ann's copy of Using Pythagoras to find a missing side (Eukleides diagrams)	draft	Ann Smith	11/06/2019 10:48

There are 45 other versions that do you not have access to.

Question statement

Write Adjacent, Opposite or Hypotenuse in the label answer boxes that correspond to the triangle above them, in parts(a - d).

The angle labelled "ang" is the important one in each case.

In parts(e - g), find the length of the unknown side using Pythagorass Theorem.

Solve the following mensuration questions to 2 decimal places:

Note: You may need to scroll down to see the diagrams.

Give any introductory information the student needs.

			Name	Type	Generated Value

ang1	integer	63
lent1	integer	35
ans1	number	66.0378679244
l21	integer	30
ang2	integer	56
lent2	integer	56
ans2	number	26.5329983228
l22	integer	14
l23	integer	9
l31	number	40.5
l32	integer	70
l33	integer	41
ans3	number	57.094220373

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(63..65)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

"Part e)" - prompt

Parts

Part a) Gap-fill
1. Step Information only
Part b) Gap-fill
Part c) Gap-fill
Part d) Gap-fill
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1. Gap Number entry
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Part f) Gap-fill
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Part g) Gap-fill
1. Gap Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Write the name of each side in the correct box:

Note: The bottom right angle is a right angle (90 $^{\circ}$ ).

{tri(30,45,56)}

x = Gap 0.

y = Gap 1.

z = Gap 2.

Advice

$x^2 = \var{lent1}^2 + \var{lent2}^2$

$x = \sqrt(\var{lent1}^2 + \var{lent2}^2)$

$x = \var{ans1}$

$\var{l21}^2 = x^2 + \var{l22}^2$

$x^2 = \var{l21}^2 - \var{l22}^2$

$x = \sqrt(\var{l21}^2 - \var{l22}^2)$

$x = \var{ans2}$

$\var{l32}^2 = x^2 + \var{l31}^2$

$x^2 = \var{l32}^2 - \var{l31}^2$

$x = \sqrt(\var{l32}^2 - \var{l31}^2)$

$x = \var{ans3}$

Give a worked solution to the whole question.

URL

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This question is used in the following exams:

Trigonometry by Katie Bullen in Katie's workspace.
Apprentices Year 1 Trigonometry by Aoife O'Brien in Aoife's workspace.
MATH6058 Tutorial 3 by Catherine Palmer in MATH6058 Engineering Maths 1.
Marco's copy of MATH6058 Tutorial 3 by Marco Vitturi in Marco's workspace.

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MATH6058 Pythagoras' Theorem and naming sides of right angled triangle

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Catherine Palmer 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

MATH6058 Pythagoras' Theorem and naming sides of right angled triangle

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Catherine Palmer 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`